Question

Determine if the data comes from a linear function or an exponential function. Then, enter

the equation for the function.
X=0,1,2,3,4 f(x)= 567, 189, 63, 21, 7

Answer 1

1. The data is not linear. There's not a constant difference between the f(x) values. (AKA there's not a fixed slope between the data points)

2. The data is exponential, because there's a consistent ratio in the f(x) values:

189/567 = 1/3

63/189 = 1/3

21/63 = 1/3

7/21 = 1/3

Each new y-value (aka f(x)-value) is 1/3 the previous value.

Also, f(0)=567.

If we put that together, we have f(x) = 567 (1/3)^x.